9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
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Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
Answer:
Integers, whole numbers and polynomials are sets of closed under multiplication.
Only Irrational numbers are not the sets of closed under multiplication.
Step-by-step explanation:
To find : Which of the following sets are closed under multiplication?
1. Integers
Yes, integers is a sets of closed under multiplication as if you multiply an integer by an integer, you will always get another integer.
Example - 
is an integer
2. Irrational numbers
No, irrationals are not closed under multiplication.
Example - 
is a rational number
3. Whole numbers
Yes, whole numbers is a sets of closed under multiplication as if you multiply a whole number by a whole number, you will always get another whole number.
Example - 
is a whole number
4. Polynomials
Yes, polynomial is sets of closed under multiplication as if you multiply the variables' exponents are added, and the exponents in polynomials are whole numbers so the new exponents will be whole numbers.
Example - 
is a polynomial.
Answer:
<em>-3 = log₆(1/216)</em>
Step-by-step explanation:
Remember that when writing logarithm, the answer is:
exponent<em> = log</em>(base in subscript)y
also note that in exponential form, it looks like: y = b^x
Change
y = b^x = "(1/216) = 6^-3"
<em>-3 = log₆(1/216)</em>
<em>-3 = log₆(1/216) </em>is your answer
Answer:
40 feet 20 feet
Step-by-step explanation:
sorry I know this was already answer but need the points- But the first one the other person put was right :D
